The aim of synthetic aperture radar (SAR) classification is to assign each pixel to a class according to a feature of the illuminated area. In this work, a classification method suitable for SAR images is presented through the maximum a posteriori (MAP) criteria by means of the expectation-maximization (EM) algorithm based on a mixture of GARCH-2D processes data model. This model assumes that the data probability density function (pdf) is a combination of a finite number of pdf's of GARCH-2D processes, that represent the pixel classes and whose parameters are estimated iteratively by means of the EM algorithm. Once the parameter estimation is performed, the a-posteriori probability of each pixel belonging to each class is computed and the c...